I believe it will be 1.75
Hope this helps!
Answer: A
Step-by-step explanation:
Focus on what it is saying. It is saying that 5x IS LESS THAN OR EQUAL TO 15.
So we are looking for smaller numbers, that is, values of x, in order to make this statement true.
So on a number line we are looking for the left part shaded in.
Furthermore... notice that the sign has "or equal to". Thus the circle is going to be shaded in. The circle is not going to be open and empty. Through this we have eliminated answers B and C.
So the answer is A because— remember— the left side of the number line is shaded. It encompasses negative numbers. A negative number times 5 will definitely be less than 15.
Answer:
The distribution is ![\frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clambda%5E%7Bn%7De%5E%7B-%20%5Clambda%20t%7Dt%5E%7Bn%20-%201%7D%7D%7B%28n%20-%201%29%21%7D)
Solution:
As per the question:
Total no. of riders = n
Now, suppose the
is the time between the departure of the rider i - 1 and i from the cable car.
where
= independent exponential random variable whose rate is ![\lambda](https://tex.z-dn.net/?f=%5Clambda)
The general form is given by:
![T_{i} = \lambda e^{- lambda}](https://tex.z-dn.net/?f=T_%7Bi%7D%20%3D%20%5Clambda%20e%5E%7B-%20lambda%7D)
(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:
![S_{n} = T_{1} + T_{2} + ........ + T_{n}](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%20T_%7B1%7D%20%2B%20T_%7B2%7D%20%2B%20........%20%2B%20T_%7Bn%7D)
![S_{n} = \sum_{i}^{n} T_{n}](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%20%5Csum_%7Bi%7D%5E%7Bn%7D%20T_%7Bn%7D)
Now, the sum of the exponential random variable with
with rate
is given by:
![S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}](https://tex.z-dn.net/?f=S_%7Bn%7D%20%3D%20f%28t%3An%2C%20%5Clamda%29%20%3D%20%5Cfrac%7B%5Clambda%5E%7Bn%7De%5E%7B-%20%5Clambda%20t%7Dt%5E%7Bn%20-%201%7D%7D%7B%28n%20-%201%29%21%7D)
Answer:
X=1
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
The solution is where the lines intersect which is at the point (3,2).
So the answer is Option D.
The point (3,2) satisfies both equations.